Simple compactifications and polar decomposition of homogeneous real spherical spaces

Knop F, Krötz B, Sayag E, Schlichtkrull H (2015)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2015

Journal

Selecta Mathematica-New Series Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 21

Pages Range: 1071-1097

Journal Issue: 3

DOI: 10.1007/s00029-014-0174-6

Abstract

Let be an algebraic homogeneous space attached to real reductive Lie group . We assume that is real spherical, i.e., minimal parabolic subgroups have open orbits on . For such spaces, we investigate their large scale geometry and provide a polar decomposition. This is obtained from the existence of simple compactifications of which is established in this paper.

Authors with CRIS profile

Friedrich Knop Lehrstuhl für Mathematik (Algebra und Geometrie)

How to cite

APA:

Knop, F., Krötz, B., Sayag, E., & Schlichtkrull, H. (2015). Simple compactifications and polar decomposition of homogeneous real spherical spaces. Selecta Mathematica-New Series, 21(3), 1071-1097. https://dx.doi.org/10.1007/s00029-014-0174-6

MLA:

Knop, Friedrich, et al. "Simple compactifications and polar decomposition of homogeneous real spherical spaces." Selecta Mathematica-New Series 21.3 (2015): 1071-1097.

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